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Finding the Fourth Proportional to 7,155.81, 9,874.53 and 4,011.75

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Solution

The fourth proportional to 7,155.81, 9,874.53 and 4,011.75 is: 5,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,155.81 : 9,874.53 = 4,011.75 : x
  2. Step 2: Convert to fraction form
    7,155.81/9,874.53 = 4,011.75/x
  3. Step 3: Cross multiply
    7,155.81x = 9,874.53 × 4,011.75
  4. Step 4: Simplify right side
    7,155.81x = 39,614,145.73
  5. Step 5: Solve for x
    x = 39,614,145.73/7,155.81
  6. Step 6: Final answer
    x = 5,535.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.